Simulating Quantum Mechanics by Non-Contextual Hidden Variables

Details Simulating Quantum Mechanics by Non-Contextual Hidden Variables Simulating Quantum Mechanics by Non-Contextual Hidden Variables

1999-08-09

arxiv.org/abs/quant-ph/9908031v4

Proc. Roy. Soc. Lond. A (2000) 456, 2101-2114.

Physics

Quantum Physics

15 pages. Journal version. Only minor typo corrections from last version

Scientific paper

10.1098/rspa.2000.0604

No physical measurement can be performed with infinite precision. This leaves a loophole in the standard no-go arguments against non-contextual hidden variables. All such arguments rely on choosing special sets of quantum-mechanical observables with measurement outcomes that cannot be simulated non-contextually. As a consequence, these arguments do not exclude the hypothesis that the class of physical measurements in fact corresponds to a dense subset of all theoretically possible measurements with outcomes and quantum probabilities that \emph{can} be recovered from a non-contextual hidden variable model. We show here by explicit construction that there are indeed such non-contextual hidden variable models, both for projection valued and positive operator valued measurements.

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